chapter INTRODUCTION -- chapter PLOTS, PROBABILITY PLOTS AND REGRESSION TESTS -- chapter TESTS USING MOMENTS -- chapter OTHER TESTS FOR UNIVARIATE NORMALITY -- chapter GOODNESS OF FIT TESTS -- chapter TESTS FOR OUTLIERS -- chapter POWER COMPARISONS FOR UNIVARIATE TESTS FOR NORMALITY -- chapter TESTING FOR NORMALITY WITH CENSORED DATA -- chapter ASSESSING MULTIVARIATE NORMALITY -- chapter TESTING FOR MULTIVARIATE OUTLIERS -- chapter TESTING FOR NORMAL MIXTURES -- chapter ROBUST ESTIMATION OF LOCATION AND SCALE -- chapter COMPUTATIONAL ISSUES.